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# Title: LBr. 57, 1 · Bernoulli, Joh.
# Folio 85v, page id DE-611-HS-958803:0172
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 83r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-958803&page=172
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 25 lines, status machine
# Lines: 25 recognised, mean confidence 0.95
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

Methodus hic a a me adhibita, etiam pro aliis maximis
aut  lineis Maximum aut Miritum aliquid praestare debentibus
est profutura; nempe si unum maximum vel minimum praecedentis, sit
pars maximi vel minimi sequentis. Ut invenire lineam maximi ambitus
quaretur primunus  Monogenum BdC, dutis  magnituiine gec
ipsis AB, AC,  emissis ex centro et sut it amsitu ABDC, vel  quod eodem redit
 BdC, sic ut area ABDC sit omnium possibilium minima maxima. Ubi invenietur
Bd, cd esse aequales et angulos B, c, esse rectos, sit jam Dyogonum BDCE
omnium possibilium sui generis maximum data ambitus DdeE maenitudine re solvatur
in duo Monogona ABdC et  A eFE, et ita quidem, ut si jam ABCd sit ambitus sui maximum
dico et ACFE sui ambitus muximum fore, sit enim aliud majus ejusdem ambitus eE, nempe H, erit
ABCA + H majus quam ABd, FE, contra Hyp. Itaque continua additione du ogonorum, fomabuntur
et prius
potuis
polusqa tat salis facientum formabuntur polusgona salisfacientia si inaequalea
quatur ostendi in disdyogono, majus fieri, si ABsaequales, quam
silquerib fornl lvis mibimer resistents caqua pro Curva Catenatia etiam
et es catenula
trigona AC, d ACdB, quaeritur situs ejus, ut centrum gravitatis maxime descendat, ubi si
procedet haec Methodus, nempe datis punctis A, B, quaeritur punc
Aliter si B cd intelligatur esse pondus  uffiosum in C et in B quomodocunque formatum reperatur
cltu  ut maxime discendit centrum gr. debere essem concursu rectarum AC, Bd
si quaeratur navis figura minime resistens aquae in data cupacitate incipiatur itidem
a d dyogono, inde pergatur ad aliud dyogonum  abque ita rem omnino po pulo fore
in potestate. Est in his nevaecujusdam Analyseos materies